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MAGMA
2.7.0
Matrix Algebra for GPU and Multicore Architectures
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Functions | |
| magma_int_t | magma_chetrf_aasen (magma_uplo_t uplo, magma_int_t cpu_panel, magma_int_t n, magmaFloatComplex *A, magma_int_t lda, magma_int_t *ipiv, magma_int_t *info) |
| CHETRF_AASEN computes the factorization of a complex Hermitian matrix A based on a communication-avoiding variant of the Aasen's algorithm . More... | |
| magma_int_t | magma_dsytrf_aasen (magma_uplo_t uplo, magma_int_t cpu_panel, magma_int_t n, double *A, magma_int_t lda, magma_int_t *ipiv, magma_int_t *info) |
| DSYTRF_AASEN computes the factorization of a real symmetric matrix A based on a communication-avoiding variant of the Aasen's algorithm . More... | |
| magma_int_t | magma_ssytrf_aasen (magma_uplo_t uplo, magma_int_t cpu_panel, magma_int_t n, float *A, magma_int_t lda, magma_int_t *ipiv, magma_int_t *info) |
| SSYTRF_AASEN computes the factorization of a real symmetric matrix A based on a communication-avoiding variant of the Aasen's algorithm . More... | |
| magma_int_t | magma_zhetrf_aasen (magma_uplo_t uplo, magma_int_t cpu_panel, magma_int_t n, magmaDoubleComplex *A, magma_int_t lda, magma_int_t *ipiv, magma_int_t *info) |
| ZHETRF_AASEN computes the factorization of a complex Hermitian matrix A based on a communication-avoiding variant of the Aasen's algorithm . More... | |
| magma_int_t magma_chetrf_aasen | ( | magma_uplo_t | uplo, |
| magma_int_t | cpu_panel, | ||
| magma_int_t | n, | ||
| magmaFloatComplex * | A, | ||
| magma_int_t | lda, | ||
| magma_int_t * | ipiv, | ||
| magma_int_t * | info | ||
| ) |
CHETRF_AASEN computes the factorization of a complex Hermitian matrix A based on a communication-avoiding variant of the Aasen's algorithm .
The form of the factorization is
A = U*D*U**H or A = L*D*L**H
where U (or L) is a product of permutation and unit upper (lower) triangular matrices, and D is Hermitian and banded matrix of the band width equal to the block size.
| [in] | uplo | magma_uplo_t
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| [in] | cpu_panel | INTEGER If cpu_panel =0, panel factorization is done on GPU. |
| [in] | n | INTEGER The order of the matrix A. N >= 0. |
| [in,out] | A | COMPLEX array, dimension (LDA,N) On entry, the Hermitian matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, the banded matrix D and the triangular factor U or L. |
| [in] | lda | INTEGER The leading dimension of the array A. LDA >= max(1,N). |
| [out] | ipiv | INTEGER array, dimension (N) Details of the interchanges. |
| [out] | info | INTEGER
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| magma_int_t magma_dsytrf_aasen | ( | magma_uplo_t | uplo, |
| magma_int_t | cpu_panel, | ||
| magma_int_t | n, | ||
| double * | A, | ||
| magma_int_t | lda, | ||
| magma_int_t * | ipiv, | ||
| magma_int_t * | info | ||
| ) |
DSYTRF_AASEN computes the factorization of a real symmetric matrix A based on a communication-avoiding variant of the Aasen's algorithm .
The form of the factorization is
A = U*D*U**H or A = L*D*L**H
where U (or L) is a product of permutation and unit upper (lower) triangular matrices, and D is symmetric and banded matrix of the band width equal to the block size.
| [in] | uplo | magma_uplo_t
|
| [in] | cpu_panel | INTEGER If cpu_panel =0, panel factorization is done on GPU. |
| [in] | n | INTEGER The order of the matrix A. N >= 0. |
| [in,out] | A | DOUBLE PRECISION array, dimension (LDA,N) On entry, the symmetric matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, the banded matrix D and the triangular factor U or L. |
| [in] | lda | INTEGER The leading dimension of the array A. LDA >= max(1,N). |
| [out] | ipiv | INTEGER array, dimension (N) Details of the interchanges. |
| [out] | info | INTEGER
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| magma_int_t magma_ssytrf_aasen | ( | magma_uplo_t | uplo, |
| magma_int_t | cpu_panel, | ||
| magma_int_t | n, | ||
| float * | A, | ||
| magma_int_t | lda, | ||
| magma_int_t * | ipiv, | ||
| magma_int_t * | info | ||
| ) |
SSYTRF_AASEN computes the factorization of a real symmetric matrix A based on a communication-avoiding variant of the Aasen's algorithm .
The form of the factorization is
A = U*D*U**H or A = L*D*L**H
where U (or L) is a product of permutation and unit upper (lower) triangular matrices, and D is symmetric and banded matrix of the band width equal to the block size.
| [in] | uplo | magma_uplo_t
|
| [in] | cpu_panel | INTEGER If cpu_panel =0, panel factorization is done on GPU. |
| [in] | n | INTEGER The order of the matrix A. N >= 0. |
| [in,out] | A | REAL array, dimension (LDA,N) On entry, the symmetric matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, the banded matrix D and the triangular factor U or L. |
| [in] | lda | INTEGER The leading dimension of the array A. LDA >= max(1,N). |
| [out] | ipiv | INTEGER array, dimension (N) Details of the interchanges. |
| [out] | info | INTEGER
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| magma_int_t magma_zhetrf_aasen | ( | magma_uplo_t | uplo, |
| magma_int_t | cpu_panel, | ||
| magma_int_t | n, | ||
| magmaDoubleComplex * | A, | ||
| magma_int_t | lda, | ||
| magma_int_t * | ipiv, | ||
| magma_int_t * | info | ||
| ) |
ZHETRF_AASEN computes the factorization of a complex Hermitian matrix A based on a communication-avoiding variant of the Aasen's algorithm .
The form of the factorization is
A = U*D*U**H or A = L*D*L**H
where U (or L) is a product of permutation and unit upper (lower) triangular matrices, and D is Hermitian and banded matrix of the band width equal to the block size.
| [in] | uplo | magma_uplo_t
|
| [in] | cpu_panel | INTEGER If cpu_panel =0, panel factorization is done on GPU. |
| [in] | n | INTEGER The order of the matrix A. N >= 0. |
| [in,out] | A | COMPLEX*16 array, dimension (LDA,N) On entry, the Hermitian matrix A. If UPLO = MagmaUpper, the leading N-by-N upper triangular part of A contains the upper triangular part of the matrix A, and the strictly lower triangular part of A is not referenced. If UPLO = MagmaLower, the leading N-by-N lower triangular part of A contains the lower triangular part of the matrix A, and the strictly upper triangular part of A is not referenced. On exit, the banded matrix D and the triangular factor U or L. |
| [in] | lda | INTEGER The leading dimension of the array A. LDA >= max(1,N). |
| [out] | ipiv | INTEGER array, dimension (N) Details of the interchanges. |
| [out] | info | INTEGER
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